 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10482 |
| In Russian (ΟΜΜ): | | 9683
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| In English (J. Appl. Math. Mech.): | | 799 |
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| L.D. Akulenko, Ya.S. Zinkevich, T.A. Kozachenko, and D.D. Leshchenko, "The evolution of the motions of a rigid body close to the Lagrange case under the action of an unsteady torque," J. Appl. Math. Mech. 81 (2), 79-84 (2017) |
| Year |
2017 |
Volume |
81 |
Issue |
2 |
Pages |
79-84 |
| DOI |
10.1016/j.jappmathmech.2017.08.001 |
| Title |
The evolution of the motions of a rigid body close to the Lagrange case under the action of an unsteady torque |
| Author(s) |
L.D. Akulenko (Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia; Moscow Institute of Physics and Technology, Dolgoprudny, Russia; Bauman Moscow State Technical University, Moscow, Russia, kumak@ipmnet.ru)
Ya.S. Zinkevich (Odessa State Academy of Civil Engineering and Architecture, Odessa, Ukraine, yaninaz@mail.ru)
T.A. Kozachenko (Odessa State Academy of Civil Engineering and Architecture, Odessa, Ukraine, kushpil.ru@rambler.ru)
D.D. Leshchenko (Odessa State Academy of Civil Engineering and Architecture, Odessa, Ukraine, leshchenko_d@ukr.net) |
| Abstract |
Perturbed rotational motions of a rigid body, close to the Lagrange case, under the action of a torque that is slowly varying in time are investigated. Conditions for the possibility of averaging the equations of motion with respect to the nutation phase angle are presented and an averaged system of equations is obtained. An example, corresponding to the motion of a body in a medium with linear dissipation, is considered. |
| Received |
07 August 2016 |
| Link to Fulltext |
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